triqs_tprf::chi0q_sum_nu_q

#include <triqs_tprf.hpp>

Synopsis

chi_w_t chi0q_sum_nu_q (chi_wnk_cvt chi_wnk)

Sum over fermionic frequency and momentum in the generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{k})\). (NB! without tail corrections)

Computes

\[\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{k}) = \frac{1}{N_k} \sum_\matbf{k} \frac{1}{\beta^2} \sum_{\nu=\nu_{min}}^\nu_{max} \chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{k})\]

Parameters

• chi_wnk Generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{k})\) in one bosonic and one fermionic Matsuabara frequency and momentum space.

Returns

Susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega)\) in one bosonic Matsubara frequency.